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Reconstructing Generalized Exponential Laws By Self-Similar Exponential Approximants

Author

Listed:
  • S. GLUZMAN

    (Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA)

  • D. SORNETTE

    (Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA;
    Department of Earth and Space Science, University of California, Los Angeles, California 90095, USA;
    Laboratoire de Physique de la Matière Condensée, CNRS UMR6622 and Université des Sciences, Parc Valrose, 06108 Nice Cedex 2, France)

  • V. I. YUKALOV

    (Research Center for Optics and Photonics, Instituto de Fisica de São Carlos, Universidade de São Paulo, Caixa Postal 369, São Carlos, São Paulo 13560-970, Brazil;
    Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia)

Abstract

We apply the technique of self-similar exponential approximants based on successive truncations of simple continued exponentials to reconstruct functional laws of the quasi-exponential class from the knowledge of only a few terms of their power series. Comparison with the standard Padé approximants shows that, in general, the self-similar exponential approximants provide significantly better reconstructions.

Suggested Citation

  • S. Gluzman & D. Sornette & V. I. Yukalov, 2003. "Reconstructing Generalized Exponential Laws By Self-Similar Exponential Approximants," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(04), pages 509-527.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:04:n:s012918310300470x
    DOI: 10.1142/S012918310300470X
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